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Finding the Third Proportional to 107,304.75 and 211,908.66

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Solution

The third proportional to 107,304.75 and 211,908.66 is: 418,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,304.75 : 211,908.66 = 211,908.66 : x
  2. Step 2: Convert to fraction form
    107,304.75/211,908.66 = 211,908.66/x
  3. Step 3: Cross multiply
    107,304.75x = 211,908.66 × 211,908.66
  4. Step 4: Simplify right side
    107,304.75x = 44,905,278,593.68
  5. Step 5: Solve for x
    x = 44,905,278,593.68/107,304.75
  6. Step 6: Final answer
    x = 418,483.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.